{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "过拟合现象，即模型的训练误差远小于它在测试集上的误差。虽然增大训练数据集可能会减轻过拟合，但是获取额外的训练数据往往代价高昂。所以还有一种应对过拟合问题的常用方法：权重衰减"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### 方法\n",
    "权重衰减等价于L2范数正则化（regularization）。正则化通过为模型损失函数添加惩罚项使学出的模型参数值较小，这是应对过拟合的常用手段。\n",
    "\n",
    "为何L2范数正则化又称为权重衰减\n",
    "\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 高维线性回归实验\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch\n",
    "import torch.nn as nn\n",
    "import numpy as np\n",
    "import sys"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_train, n_test, num_inputs = 20, 100, 200\n",
    "true_w, true_b = torch.ones(num_inputs, 1) * 0.01, 0.05\n",
    "\n",
    "features = torch.randn((n_train+n_test, num_inputs))\n",
    "labels = torch.matmul(features, true_w) + true_b\n",
    "labels += torch.tensor(np.random.normal(0, 0.01, size=labels.size()), dtype=torch.float)\n",
    "train_features, test_features = features[:n_train, :], features[n_train:, :]\n",
    "train_labels, test_labels = labels[:n_train], labels[n_train:]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 初始化模型参数\n",
    "def init_params():\n",
    "    w = torch.randn((num_inputs, 1), requires_grad=True)\n",
    "    b = torch.zeros(1, requires_grad=True)\n",
    "    return [w ,b]\n",
    "\n",
    "# 通过在目标函数后添加 L2 范数惩罚项来实现权重衰减\n",
    "# 定义 L2 范数惩罚项\n",
    "def l2_penalty(w):\n",
    "    return (w**2).sum() / 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "from IPython import display\n",
    "def use_svg_display():\n",
    "    display.set_matplotlib_formats('svg') # 用矢量图显示\n",
    "\n",
    "def set_figsize(figsize=(3.5, 2.5)):\n",
    "    use_svg_display()\n",
    "    plt.rcParams['figure.figsize'] = figsize # 设置图的尺寸\n",
    "\n",
    "def semilogy(x_vals, y_vals, x_label, y_label,\n",
    "            x2_vals=None, y2_vals=None, legend=None, figsize=(3.5, 2.5)):\n",
    "    set_figsize(figsize)\n",
    "    plt.xlabel(x_label)\n",
    "    plt.ylabel(y_label)\n",
    "    plt.semilogy(x_vals, y_vals)\n",
    "    if x2_vals and y2_vals:\n",
    "        plt.semilogy(x2_vals, y2_vals, linestyle=\":\")\n",
    "        plt.legend(legend)\n",
    "        \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 定义训练和测试\n",
    "# 损失函数中添加了 L2 范数惩罚项\n",
    "\n",
    "def linreg(X, w, b):\n",
    "    return torch.mm(X, w) + b\n",
    "def squared_loss(y_pred, y):\n",
    "    return (y_pred - y.view(y_pred.size()))**2 / 2\n",
    "def sgd(params, lr, batch_size):\n",
    "    for param in params:\n",
    "        param.data -= lr * param.grad / batch_size\n",
    "\n",
    "batch_size = 1\n",
    "num_epochs = 100\n",
    "lr = 0.003\n",
    "net = linreg\n",
    "loss = squared_loss\n",
    "\n",
    "dataset = torch.utils.data.TensorDataset(train_features, train_labels)\n",
    "train_iter = torch.utils.data.DataLoader(dataset, batch_size, shuffle=True)\n",
    "\n",
    "def fit_and_plot(lambd):\n",
    "    w, b = init_params()\n",
    "    train_ls, test_ls = [], []\n",
    "    for _ in range(num_epochs):\n",
    "        for X, y in train_iter:\n",
    "            # 添加了L2范数惩罚项的损失函数\n",
    "            l = loss(net(X, w, b), y) + lambd * l2_penalty(w)\n",
    "            l = l.sum()\n",
    "            if w.grad is not None:\n",
    "                w.grad.data.zero_()\n",
    "                b.grad.data.zero_()\n",
    "            l.backward()\n",
    "            sgd([w, b], lr, batch_size)\n",
    "        train_ls.append(loss(net(train_features,w,b), train_labels).mean().item())\n",
    "        test_ls.append(loss(net(test_features,w,b), test_labels).mean().item())\n",
    "    semilogy(range(1,num_epochs+1), train_ls, 'epochs', 'loss',\n",
    "            range(1,num_epochs+1), test_ls, ['train','test'])\n",
    "    print('L2 norm of w:', w.norm().item())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### 训练并测试高维线性回归模型，当lambd设为0时，即没有使用权重衰减。结果训练误差远小于测试集上的误差，这是典型的过拟合现象"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "L2 norm of w: 13.036286354064941\n"
     ]
    },
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   "source": [
    "# 观察过拟合现象\n",
    "fit_and_plot(lambd=0)"
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  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
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     "name": "stdout",
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      "L2 norm of w: 0.03171417862176895\n"
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      "text/plain": [
       "<Figure size 252x180 with 1 Axes>"
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     },
     "metadata": {
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     "output_type": "display_data"
    }
   ],
   "source": [
    "# 使用权重衰减\n",
    "# 训练误差虽然有所提高，但测试集上的误差有所下降。过拟合现象得到一定程度的缓解\n",
    "# 权重参数的 L2 范数比不使用权重衰减时的更小，此时的权重参数更接近0\n",
    "fit_and_plot(lambd=3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 简洁实现\n",
    "# 直接在构造优化器实例时通过weight_decay参数来指定权重衰减超参数。\n",
    "# 默认下，PyTorch会对权重和偏差同时衰减。\n",
    "# 可以分别对权重和偏差构造优化器实例，从而只对权重衰减\n",
    "\n",
    "def fit_and_plot_pytorch(wd):\n",
    "    net = nn.Linear(num_inputs, 1)\n",
    "    nn.init.normal_(net.weight, mean=0, std=1)\n",
    "    nn.init.normal_(net.bias, mean=0, std=1)\n",
    "    optimizer_w = torch.optim.SGD(params=[net.weight], lr=lr, weight_decay=wd) # 只对权重参数衰减\n",
    "    optimizer_b = torch.optim.SGD(params=[net.bias], lr=lr) # 不对偏差参数衰减\n",
    "    \n",
    "    train_ls, test_ls = [], []\n",
    "    for _ in range(num_epochs):\n",
    "        for X, y in train_iter:\n",
    "            l = loss(net(X), y).mean()\n",
    "            optimizer_w.zero_grad()\n",
    "            optimizer_b.zero_grad()\n",
    "            \n",
    "            l.backward()\n",
    "            \n",
    "            # 对两个optimizer实例分别调用step函数，从而分别更新权重和偏差\n",
    "            optimizer_w.step()\n",
    "            optimizer_b.step()\n",
    "        train_ls.append(loss(net(train_features), train_labels).mean().item())\n",
    "        test_ls.append(loss(net(test_features), test_labels).mean().item())\n",
    "    semilogy(range(1,num_epochs+1), train_ls, 'epochs', 'loss',\n",
    "            range(1,num_epochs+1), test_ls, ['train','test'])\n",
    "    print('L2 norm of w:', net.weight.data.norm().item())\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "L2 norm of w: 14.480751037597656\n"
     ]
    },
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   "source": [
    "##### 小结\n",
    "1、正则化通过为模型损失函数添加惩罚项使学出的模型参数值较小，是应对过拟合的常用手段\n",
    "\n",
    "2、权重衰减等价于L2范数正则化，通常会使得学到的权重参数的元素比较接近0\n",
    "\n",
    "3、权重衰减可以通过优化器中的 weight_decay 超参数来指定\n",
    "\n",
    "4、可以定义多个优化器实例对模型中"
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